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math.CA2001
An expansion formula for the Askey-Wilson function
Jasper V. Stokman
The Askey-Wilson function transform is a q-analogue of the Jacobi function transform with kernel given by an explicit non-polynomial eigenfunction of the Askey-Wilson second order…
math.CA1999
The Askey-Wilson function transform scheme
Erik Koelink, Jasper V. Stokman
In this paper we present an addition to Askey's scheme of q-hypergeometric orthogonal polynomials involving classes of q-special functions which do not consist of polynomials only.…
math.CA1999
The big q-Jacobi function transform
Erik Koelink, Jasper V. Stokman
We give a detailed description of the resolution of the identity of a second order -difference operator considered as an unbounded self-adjoint operator on two different Hilbert…